Answer: A) (-2, -1)
Step-by-step explanation:
At which coordinate to the graphs intersect? (-2, -1)
We can check this by solving the f(x) = g(x)
[tex]\dfrac{2}{x}=\dfrac{1}{-3-x}\\\\\\\text{Cross multiply}:\\2(-3-x)=1(x)\\\\\\\text{Distribute}:\\-6-2x=x\\\\\\\text{add 2x to both sides}:\\-6=3x\\\\\\\text{Divide both sides by 3}:\\-2 = x\\\\\\\text{Substitute x = -2 into either f(x) or g(x) to solve for y}:\\y=\dfrac{2}{x}=\dfrac{2}{-2}=-1\\\\\\\text{Solution of (-2, -1) is verified}\ \checkmark[/tex]
